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Finding the Third Proportional to 6,112.49 and 8,880.42

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Solution

The third proportional to 6,112.49 and 8,880.42 is: 12,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.49 : 8,880.42 = 8,880.42 : x
  2. Step 2: Convert to fraction form
    6,112.49/8,880.42 = 8,880.42/x
  3. Step 3: Cross multiply
    6,112.49x = 8,880.42 × 8,880.42
  4. Step 4: Simplify right side
    6,112.49x = 78,861,788.61
  5. Step 5: Solve for x
    x = 78,861,788.61/6,112.49
  6. Step 6: Final answer
    x = 12,901.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.